Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes. I: Volume integration

DOI10.1016/j.jcp.2019.06.015zbMath1452.65258OpenAlexW4238485392WikidataQ127775187 ScholiaQ127775187MaRDI QIDQ2222340

Chongam Kim, Hojun You

Publication date: 26 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.06.015

zbMATH Keywords

discontinuous Galerkin methodsquadrature-free methodvolume integrationdirect flux reconstructionhigher-order mixed meshes

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical integration (65D30)

Related Items (11)

A low dissipation finite difference nested multi-resolution WENO scheme for Euler/Navier-Stokes equations ⋮ A new finite volume multi-resolution central WENO scheme for Navier-Stokes equations on staggered meshes ⋮ Computational Study of Hypersonic Rarefied Gas Flow over Re-Entry Vehicles Using the Second-Order Boltzmann-Curtiss Constitutive Model ⋮ Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations ⋮ Architecture-based and target-oriented algorithm optimization of high-order methods via complete-search tensor contraction ⋮ Deneb: an open-source high-performance multi-physical flow solver based on high-order DRM-DG method ⋮ Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes III. Code optimization via tensor contraction ⋮ A modal discontinuous Galerkin method for simulating dusty and granular gas flows in thermal non-equilibrium in the Eulerian framework ⋮ Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes. II: Surface integration ⋮ New finite difference unequal-sized Hermite WENO scheme for Navier-Stokes equations ⋮ The p-Weighted Limiter for the Discontinuous Galerkin Method in Solving Compressible Flows on Tetrahedral Grids

Uses Software

• Gmsh
• polyquad

Cites Work

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